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Find the values of: cot 25πc3 - Mathematics and Statistics

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Question

Find the values of:

`cot  (25pi^"c")/3`

Sum

Solution

We know that cotangent function is periodic with period π.

∴ `cot  (25pi^"c")/3 = cot (8pi + pi/3)`

= `cot  pi/3`

= `1/sqrt(3)`.

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Periodicity of Trigonometric Functions
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Chapter 2: Trigonometry - 1 - EXERCISE 2.2 [Page 31]

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